The osmotic pressure of a dilute solution of a compound XY in water is four times that of a solution of 0.01 M `BaCl_(2)` in water. Assuming complete dissociation of the given ionic compounds in water, the concentration of XY (in `"mol" L^(-1)`) in solution is:

Options

A. `6 xx 10^(-2)`
B. `4 xx 10^(-2)`
C. `16 xx 10^(-4)`
D. `4 xx 10^(-2)`

Answer

D

Explanation

`pi(XY) = 4pi(BaCl_(2))`
Assuming complete dissociation,
`i(XY) = 2, i(BaCl_(2)) =3`
`i(XY) = 2, i(BaCl_(2)) = 3`
`2C(XY) = 3 xx 4 xx 0.01`
`C(XY) = (3 xx 4 xxx 0.01)/(2) = 0.06M`